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Simplifying 2(h + 6 + 2k) = 0 Reorder the terms: 2(6 + h + 2k) = 0 (6 * 2 + h * 2 + 2k * 2) = 0 (12 + 2h + 4k) = 0 Solving 12 + 2h + 4k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 2h + -12 + 4k = 0 + -12 Reorder the terms: 12 + -12 + 2h + 4k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2h + 4k = 0 + -12 2h + 4k = 0 + -12 Combine like terms: 0 + -12 = -12 2h + 4k = -12 Add '-4k' to each side of the equation. 2h + 4k + -4k = -12 + -4k Combine like terms: 4k + -4k = 0 2h + 0 = -12 + -4k 2h = -12 + -4k Divide each side by '2'. h = -6 + -2k Simplifying h = -6 + -2k
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